Code:
/ 4.0 / 4.0 / DEVDIV_TFS / Dev10 / Releases / RTMRel / ndp / fx / src / DataEntity / System / Data / Common / Utils / Boolean / Simplifier.cs / 1305376 / Simplifier.cs
//----------------------------------------------------------------------
//
// Copyright (c) Microsoft Corporation. All rights reserved.
//
//
// @owner [....]
// @backupOwner [....]
//---------------------------------------------------------------------
using System;
using System.Collections.Generic;
using System.Text;
using System.Diagnostics;
namespace System.Data.Common.Utils.Boolean
{
// Simplifier visitor for Boolean expressions. Performs the following
// simplifications bottom-up:
// - Eliminate True and False (A Or False iff. A, A And True iff. A)
// - Resolve tautology (A Or !A iff. True, True Or A iff. True) and
// contradiction (A And !A iff. False, False And A iff. False)
// - Flatten nested negations (!!A iff. A)
// - Evaluate bound literals (!True iff. False, etc.)
// - Flatten unary/empty And/Or expressions
internal class Simplifier : BasicVisitor
{
internal static readonly Simplifier Instance = new Simplifier();
protected Simplifier()
{
}
internal override BoolExpr VisitNot(NotExpr expression)
{
BoolExpr child = expression.Child.Accept(this);
switch (child.ExprType)
{
case ExprType.Not:
return ((NotExpr)child).Child;
case ExprType.True: return FalseExpr.Value;
case ExprType.False: return TrueExpr.Value;
default: return base.VisitNot(expression);
}
}
internal override BoolExpr VisitAnd(AndExpr expression)
{
return SimplifyTree(expression);
}
internal override BoolExpr VisitOr(OrExpr expression)
{
return SimplifyTree(expression);
}
private BoolExpr SimplifyTree(TreeExpr tree)
{
bool isAnd = ExprType.And == tree.ExprType;
Debug.Assert(isAnd || ExprType.Or == tree.ExprType);
// Get list of simplified children, flattening nested And/Or expressions
List> simplifiedChildren = new List>(tree.Children.Count);
foreach (BoolExpr child in tree.Children)
{
BoolExpr simplifiedChild = child.Accept(this);
// And(And(A, B), C) iff. And(A, B, C)
// Or(Or(A, B), C) iff. Or(A, B, C)
if (simplifiedChild.ExprType == tree.ExprType)
{
simplifiedChildren.AddRange(((TreeExpr)simplifiedChild).Children);
}
else
{
simplifiedChildren.Add(simplifiedChild);
}
}
// Track negated children separately to identify tautologies and contradictions
Dictionary, bool> negatedChildren = new Dictionary, bool>(tree.Children.Count);
List> otherChildren = new List>(tree.Children.Count);
foreach (BoolExpr simplifiedChild in simplifiedChildren)
{
switch (simplifiedChild.ExprType)
{
case ExprType.Not:
negatedChildren[((NotExpr)simplifiedChild).Child] = true;
break;
case ExprType.False:
// False And A --> False
if (isAnd) { return FalseExpr.Value; }
// False || A --> A (omit False from child collections)
break;
case ExprType.True:
// True Or A --> True
if (!isAnd) { return TrueExpr.Value; }
// True And A --> A (omit True from child collections)
break;
default:
otherChildren.Add(simplifiedChild);
break;
}
}
List> children = new List>();
foreach (BoolExpr child in otherChildren)
{
if (negatedChildren.ContainsKey(child))
{
// A && !A --> False, A || !A --> True
if (isAnd) { return FalseExpr.Value; }
else { return TrueExpr.Value; }
}
children.Add(child);
}
foreach (BoolExpr child in negatedChildren.Keys)
{
children.Add(child.MakeNegated());
}
if (0 == children.Count)
{
// And() iff. True
if (isAnd) { return TrueExpr.Value; }
// Or() iff. False
else { return FalseExpr.Value; }
}
else if (1 == children.Count)
{
// Or(A) iff. A, And(A) iff. A
return children[0];
}
else
{
// Construct simplified And/Or expression
TreeExpr result;
if (isAnd) { result = new AndExpr(children); }
else { result = new OrExpr(children); }
return result;
}
}
}
}
// File provided for Reference Use Only by Microsoft Corporation (c) 2007.
//----------------------------------------------------------------------
//
// Copyright (c) Microsoft Corporation. All rights reserved.
//
//
// @owner [....]
// @backupOwner [....]
//---------------------------------------------------------------------
using System;
using System.Collections.Generic;
using System.Text;
using System.Diagnostics;
namespace System.Data.Common.Utils.Boolean
{
// Simplifier visitor for Boolean expressions. Performs the following
// simplifications bottom-up:
// - Eliminate True and False (A Or False iff. A, A And True iff. A)
// - Resolve tautology (A Or !A iff. True, True Or A iff. True) and
// contradiction (A And !A iff. False, False And A iff. False)
// - Flatten nested negations (!!A iff. A)
// - Evaluate bound literals (!True iff. False, etc.)
// - Flatten unary/empty And/Or expressions
internal class Simplifier : BasicVisitor
{
internal static readonly Simplifier Instance = new Simplifier();
protected Simplifier()
{
}
internal override BoolExpr VisitNot(NotExpr expression)
{
BoolExpr child = expression.Child.Accept(this);
switch (child.ExprType)
{
case ExprType.Not:
return ((NotExpr)child).Child;
case ExprType.True: return FalseExpr.Value;
case ExprType.False: return TrueExpr.Value;
default: return base.VisitNot(expression);
}
}
internal override BoolExpr VisitAnd(AndExpr expression)
{
return SimplifyTree(expression);
}
internal override BoolExpr VisitOr(OrExpr expression)
{
return SimplifyTree(expression);
}
private BoolExpr SimplifyTree(TreeExpr tree)
{
bool isAnd = ExprType.And == tree.ExprType;
Debug.Assert(isAnd || ExprType.Or == tree.ExprType);
// Get list of simplified children, flattening nested And/Or expressions
List> simplifiedChildren = new List>(tree.Children.Count);
foreach (BoolExpr child in tree.Children)
{
BoolExpr simplifiedChild = child.Accept(this);
// And(And(A, B), C) iff. And(A, B, C)
// Or(Or(A, B), C) iff. Or(A, B, C)
if (simplifiedChild.ExprType == tree.ExprType)
{
simplifiedChildren.AddRange(((TreeExpr)simplifiedChild).Children);
}
else
{
simplifiedChildren.Add(simplifiedChild);
}
}
// Track negated children separately to identify tautologies and contradictions
Dictionary, bool> negatedChildren = new Dictionary, bool>(tree.Children.Count);
List> otherChildren = new List>(tree.Children.Count);
foreach (BoolExpr simplifiedChild in simplifiedChildren)
{
switch (simplifiedChild.ExprType)
{
case ExprType.Not:
negatedChildren[((NotExpr)simplifiedChild).Child] = true;
break;
case ExprType.False:
// False And A --> False
if (isAnd) { return FalseExpr.Value; }
// False || A --> A (omit False from child collections)
break;
case ExprType.True:
// True Or A --> True
if (!isAnd) { return TrueExpr.Value; }
// True And A --> A (omit True from child collections)
break;
default:
otherChildren.Add(simplifiedChild);
break;
}
}
List> children = new List>();
foreach (BoolExpr child in otherChildren)
{
if (negatedChildren.ContainsKey(child))
{
// A && !A --> False, A || !A --> True
if (isAnd) { return FalseExpr.Value; }
else { return TrueExpr.Value; }
}
children.Add(child);
}
foreach (BoolExpr child in negatedChildren.Keys)
{
children.Add(child.MakeNegated());
}
if (0 == children.Count)
{
// And() iff. True
if (isAnd) { return TrueExpr.Value; }
// Or() iff. False
else { return FalseExpr.Value; }
}
else if (1 == children.Count)
{
// Or(A) iff. A, And(A) iff. A
return children[0];
}
else
{
// Construct simplified And/Or expression
TreeExpr result;
if (isAnd) { result = new AndExpr(children); }
else { result = new OrExpr(children); }
return result;
}
}
}
}
// File provided for Reference Use Only by Microsoft Corporation (c) 2007.
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